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Finding the Fourth Proportional to 5,670.40, 7,824.00 and 3,312.08

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Solution

The fourth proportional to 5,670.40, 7,824.00 and 3,312.08 is: 4,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.40 : 7,824.00 = 3,312.08 : x
  2. Step 2: Convert to fraction form
    5,670.40/7,824.00 = 3,312.08/x
  3. Step 3: Cross multiply
    5,670.40x = 7,824.00 × 3,312.08
  4. Step 4: Simplify right side
    5,670.40x = 25,913,729.25
  5. Step 5: Solve for x
    x = 25,913,729.25/5,670.40
  6. Step 6: Final answer
    x = 4,570.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.